Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length Calculator

✖Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.ⓘ Pyramidal Edge Length of Triakis Octahedron [l_e(Pyramid)]

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✖Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length [r_m]

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Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2)))
r_m = l_e(Pyramid)/(2*(2-sqrt(2)))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Midsphere Radius of Triakis Octahedron - (Measured in Meter) - Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.
Pyramidal Edge Length of Triakis Octahedron - (Measured in Meter) - Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Edge Length of Triakis Octahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = l_e(Pyramid)/(2*(2-sqrt(2))) --> 6/(2*(2-sqrt(2)))

Evaluating ... ...

r_m = 5.12132034355964

STEP 3: Convert Result to Output's Unit

5.12132034355964 Meter --> No Conversion Required

FINAL ANSWER

5.12132034355964 ≈ 5.12132 Meter <-- Midsphere Radius of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< Midsphere Radius of Triakis Octahedron Calculators

Midsphere Radius of Triakis Octahedron given Surface to Volume Ratio

LaTeX Go Midsphere Radius of Triakis Octahedron = (3*(sqrt(23-(16*sqrt(2)))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)

Midsphere Radius of Triakis Octahedron given Total Surface Area

LaTeX Go Midsphere Radius of Triakis Octahedron = 1/2*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))

Midsphere Radius of Triakis Octahedron given Insphere Radius

LaTeX Go Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))

Midsphere Radius of Triakis Octahedron given Volume

LaTeX Go Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length Formula

LaTeX Go

Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2)))
r_m = l_e(Pyramid)/(2*(2-sqrt(2)))

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

How to Calculate Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length?

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length calculator uses Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2))) to calculate the Midsphere Radius of Triakis Octahedron, Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere, calculated using the pyramidal edge length of Triakis Octahedron. Midsphere Radius of Triakis Octahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) and hit the calculate button. Here is how the Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length calculation can be explained with given input values -> 5.12132 = 6/(2*(2-sqrt(2))).

FAQ

What is Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length?

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere, calculated using the pyramidal edge length of Triakis Octahedron and is represented as r_m = l_e(Pyramid)/(2*(2-sqrt(2))) or Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2))). Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.

How to calculate Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length?

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere, calculated using the pyramidal edge length of Triakis Octahedron is calculated using Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2))). To calculate Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length, you need Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)). With our tool, you need to enter the respective value for Pyramidal Edge Length of Triakis Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Midsphere Radius of Triakis Octahedron?

In this formula, Midsphere Radius of Triakis Octahedron uses Pyramidal Edge Length of Triakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Triakis Octahedron = (3*(sqrt(23-(16*sqrt(2)))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))
Midsphere Radius of Triakis Octahedron = 1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

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